Seminar Representation Theory WS 2024



Topic: Brauer Graph Algebras and Brauer Trees


Schedule: Mondays 15:30-17:00 in Room (48-438) [OLAT].
Start: Monday, the 22nd of April 2024

Please, come by my office to discuss the content of your talk.


Programme (preliminary!)


22.04.2024 Caroline Lassueur Intro & topic distribution
13.05.2024 Berenike Dieterle Background material: Modules over the group algebra ([4])
13.05.2024 Tim Wingender Background material: the Green correspondence ([4])
22.05.2024 Felix Kirschke Background material: Brauer characters and decomposition matrices ([4])
22.05.2024 Andreas Leim Background material: Blocks of finite groups ([4])
27.05.2024 Martin Wagner Brauer tree algebras ([5,§5.10.1/.2/.4] and [1,§4.18])
03.06.2024 TBA Brauer trees I ([2,§2-§3])
10.06.2024 Annika Bartelt Brauer trees II ([2,§4.1-§4.3])
17.06.204 TBA Brauer trees III ([2,§4.3-§4.4])
24.06.2024 NO SEMINAR
-
01.07.2024 TBA
Brauer trees IV ([2,§5+Examples from §6])
08.07.2024 NO SEMINAR
-
15.07.2024 TBA
(??) Brauer trees and condensation methods ([TBA])
22.07.2024 TBA
(??) Brauer graph algebras: outlook [3]


References


[1] D. Benson, Representations and cohomology I [ZB-MATH]
[2] G. Hiss and K. Lux, Brauer trees of sporadic groups [ZB-MATH]
[3] S. Schroll, Brauer graph algebras. A survey on Brauer graph algebras, associated gentle algebras and their connections to cluster theory [arXiv]
[4] P. Webb, A course in finite group theory [Preprint version]
[5] A. Zimmermann, Representation theory. A homological algebra point of view. [ZB-MATH]
All books are available in preview form from the OpenOLAT page of the seminar. Participants will receive the code by e-mail in the 1st week of the lecture time.


Information for Students


Students are welcome to attend the seminar. To obtain credit points you will have to give a talk.

Please register online in the URM system.

IMPORTANT: please get in touch with me prior to the start of the semester if you want to take part to the seminar.